Class 10 Maths Chapter 4 Quadratic Equations Most Important Questions By PW

Physics Wallah presents a carefully curated set of Most Important Questions for Class 10 Maths Chapter 4 Quadratic Equations, designed around high-probability exam patterns. Covering key areas such as solving quadratic equations, using the discriminant to determine the nature of roots, and converting word problems into algebraic form, this set ensures focused and complete preparation.

 Practising these questions helps strengthen conceptual clarity, improve accuracy, and build familiarity with commonly asked question types. With regular practice, you can enhance your problem-solving speed and approach the CBSE board examinations with greater confidence.

Q1. The equation ax² + bx + c = 0 is a quadratic equation for   

A) all values of a

B) all non-zero values of a

C) all non-zero values of b

D) all non-zero values of c

 Correct Option: B) all non-zero values of a   

Q2. If −1/2 is a root of the equation x² − kx − 5/4 = 0, then the value of k is:

 A) -2

B) 2

C) 1/4

D) 1/2

Correct  Option: B) 2       

Q3. Which of the following equations has 2 as a root?

A) x² − 4x + 5 = 6
B). x² + 3x − 12 = 0
C). 2x² − 7x + 6 = 0
D). 3x² − 6x − 2 = 0

Correct option: C). 2x² − 7x + 6 = 0

Q4. A quadratic equation has

A)at most two roots

B)at least two roots

C)exactly two roots

D)at least one root

Correct option: C) exactly two roots

Q5. Solve the following quadratic equation by factorization:

1/(x − 2) + 2/(x − 1) = 6/x

A)   3, 4/3
B).  4, 4/3
C) −3, 4/3
D).−4, 4/3

Correct option: A)  3, 4/3

Q6. Solve the following quadratic equation by factorization:

(2x)/(x − 3) + 1/(2x + 3) + (3x + 9)/((x − 3)(2x + 3)) = 0, x ≠ 3, −3/2

A) −1
B)   0
C)   1
D)   2

Correct option: A)x = −1

Q7. The roots of the equation x² − 2x − (r² − 1) = 0 are:

A) 1 − r, −r − 1
B) 1 − r, r + 1
C) 1, r
D) 1 − r, r

Correct option: B) 1 − r, r + 1

For more MIQs with step-by-step solutions and explanations: 

PW MIQs provide a focused and practical way to revise Quadratic Equations. By practising these exam-relevant problems, you can strengthen key concepts, improve accuracy, and become more comfortable with different question types. Consistent practice will help you manage time better and approach the Class 10 maths board examination with greater clarity and confidence.